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On the caudrey-beals-coifman system and the gauge group action

Grahovski, GG and Condon, M (2008) 'On the caudrey-beals-coifman system and the gauge group action.' Journal of Nonlinear Mathematical Physics, 15 (SUPPL.). 197 - 208. ISSN 1402-9251

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Abstract

The generalized Zakharov-Shabat systems with complex-valued Cartan elements and the systems studied A.V.Mikhailov, and later on by Caudrey, Beals and Coifman (CBC systems), and their gauge equivalent are studied. This includes: the properties of fundamental analytical solutions (FAS) for the gauge-equivalent to CBC systems and the minimal set of scattering data; the description of the class of nonlinear evolutionary equations solvable by the inverse scattering method and the recursion operator, related to such systems; the hierarchies of Hamiltonian structures. Copyright © 2008 by G G Grahovski and M Condon.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Jim Jamieson
Date Deposited: 20 Nov 2014 09:42
Last Modified: 15 Oct 2019 23:16
URI: http://repository.essex.ac.uk/id/eprint/11684

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